2148804174400 has 189 divisors, whose sum is σ = 5727442572651. Its totient is φ = 793123169280.

The previous prime is 2148804174397. The next prime is 2148804174427. The reversal of 2148804174400 is 44714088412.

The square root of 2148804174400 is 1465880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 553857454656 + 1594946719744 = 744216^2 + 1262912^2 .

It is a super-3 number, since 3×2148804174400³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 762256191 + ... + 762259009.

Almost surely, 2^{2148804174400} is an apocalyptic number.

2148804174400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2148804174400 is the 1465880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148804174400

2148804174400 is an abundant number, since it is smaller than the sum of its proper divisors (3578638398251).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2148804174400 is an frugal number, since it uses more digits than its factorization.

2148804174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The spelling of 2148804174400 in words is "two trillion, one hundred forty-eight billion, eight hundred four million, one hundred seventy-four thousand, four hundred".